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This paper presents a new data structure called Voronoi tree to support the solution of proximity problems in general quasimetric spaces with efficiently computable distance functions. We analyse some structural properties and report experimental results showing that Voronoi trees are a proper and very efficient tool for the representation of proximity properties and generation of suitable clusterings.

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© 1987 Springer-Verlag Berlin Heidelberg

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Noltemeier, H. (1987). Voronoi Trees. In: Opitz, O., Rauhut, B. (eds) Ökonomie und Mathematik. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72672-9_35

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  • DOI: https://doi.org/10.1007/978-3-642-72672-9_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-72673-6

  • Online ISBN: 978-3-642-72672-9

  • eBook Packages: Springer Book Archive

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